Fuzzy implication operators and generalized fuzzy method of cases

D. Ruan; E. E. Kerre

doi:10.1016/0165-0114(93)90357-N

Fuzzy implication operators and generalized fuzzy method of cases

D. Ruan, E. E. Kerre

Research output › peer-review

Abstract

This paper is an extension of our previous work [4] on the influence of the fuzzy implication operator on the method-of-cases inference rule. Firstly, we test some widely used fuzzy implication operators with respect to the recently introduced Smets-Magrez axioms [8]. Secondly, using an extension of a triangular norm to n arguments, a unified generalization of Zadeh's compositional rule of inference is presented. Finally, this extension is applied to a generalization of the method-of-cases under the above fuzzy implication operators.

Original language	English
Pages (from-to)	23-37
Number of pages	15
Journal	Fuzzy sets and systems
Volume	54
Issue number	1
DOIs	https://doi.org/10.1016/0165-0114(93)90357-N
State	Published - 25 Feb 1993

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/0165-0114(93)90357-N

Cite this

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KW - Fuzzy implication operator

KW - Generalized compositional rule of inference

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KW - Triangular norm

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